Coefficient inequality for transforms of certain subclass of analytic functions
Author(s) -
T. RamReddy,
D. Shalini,
D. Vamshee Krishna,
B. Venkateswarlu
Publication year - 2017
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2017.21.12
Subject(s) - subclass , toeplitz matrix , mathematics , analytic function , complex plane , function (biology) , pure mathematics , analytic continuation , unit (ring theory) , plane (geometry) , mathematical analysis , inequality , combinatorics , geometry , mathematics education , antibody , evolutionary biology , immunology , biology
The objective of this paper is to obtain the best possible sharp upper bound for the second Hankel functional associated with the kth root transform [f (Z(k))](1/k) of normalized analytic function f(z) when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane using Toeplitz determinants.
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